Linear and nonlinear resonant interaction of sound waves in dissipative layers

Ballai, I., Erdélyi, R. and Goossens, M. (2000) Linear and nonlinear resonant interaction of sound waves in dissipative layers. Journal of Plasma Physics, 64 (3). pp. 235-247. ISSN 0022-3778

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Abstract

The theory of resonant nonlinear magnetohydrodynamic (MHD) waves in dissipative steady plasmas developed by Ballai and Erdélyi is used to study the effect of steady flows on nonlinear resonant heating of MHD waves in (a) linear, (b) weakly and (c) strongly nonlinear approximations. Nonlinear connection formulae for slow MHD waves are derived. This nonlinear theory of driven MHD waves is then used to study the interaction of sound waves with one-dimensional isotropic steady plasmas.

We find that a steady equilibrium flow can significantly influence the efficiency of resonant absorption in the considered limits. In the case of strong nonlinearity, the efficiency of the resonant coupling is found to be proportional to the counterpart obtained in linear theory. The factor of proportion is approximately of the order of unity, justifying the commonly applied linear approximations.

Item Type:	Article
Copyright, Publisher and Additional Information:	© 2000 Cambridge University Press
Academic Units:	The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User:	Repository Assistant
Date Deposited:	14 Sep 2006
Last Modified:	08 Feb 2013 16:50
Published Version:	http://dx.doi.org/10.1017/S0022377800008564
Status:	Published
Publisher:	Cambridge University Press
Refereed:	Yes
Identification Number:	10.1017/S0022377800008564
URI:	http://eprints.whiterose.ac.uk/id/eprint/1573

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